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Finding the Fourth Proportional to 6,311.34, 9,460.22 and 3,017.43

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Solution

The fourth proportional to 6,311.34, 9,460.22 and 3,017.43 is: 4,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.34 : 9,460.22 = 3,017.43 : x
  2. Step 2: Convert to fraction form
    6,311.34/9,460.22 = 3,017.43/x
  3. Step 3: Cross multiply
    6,311.34x = 9,460.22 × 3,017.43
  4. Step 4: Simplify right side
    6,311.34x = 28,545,536.55
  5. Step 5: Solve for x
    x = 28,545,536.55/6,311.34
  6. Step 6: Final answer
    x = 4,522.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.